A three-dimensional phenomenological model for Magnetic Shape Memory Alloys

We present a three-dimensional thermodynamically-consistent phenomenological model for the magneto-mechanical behavior of magnetic shape memory materials featuring a cubic-to- tetragonal martensitic transformation. Existence of energetic solutions for both the consti- tutive relation problem and the three-dimensional quasi-static evolution problem are proved. The proposed model reduces to some former one via parameter asymptotics by means of a rigorous Γ-convergence argument

Interface laws for multi-physic composites

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Interface Laws for Multi-physic Composites

The paper describes the mechanical behavior of a composite constituted by two solids, bonded by a thin adhesive layer in a general multi-physic framework, by employing the asymptotic expansion technique. After defining a small parameter ε, which will tend to zero, associated with the thickness and the constitutive coefficients of the intermediate layer, we characterize three different limit models and their associated limit problems: the soft interface model, in which the constitutive coefficients depend linearly on ε; the hard interface model, in which the constitutive properties are independent of ε; the rigid interface model, in which they depend on 1/ε. The asymptotic expansion method is reviewed by taking into account the effect of higher order terms and by defining a general multi-physic interface law which comprises the above aforementioned models. Moreover, the FEM implementation of the transmission model is presented through a numerical example